Use Properties of Logarithms to Condense the Logarithmic Expression $2 \log _ { 3 } 5 + \frac { 1 } { 3 } \log _ { 3 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 3 } r$

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $2 \log _ { 3 } 5 + \frac { 1 } { 3 } \log _ { 3 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 3 } r$

A) $\log _ { 3 } \frac { 25 \sqrt [ 3 ] { r - 2 } } { \sqrt { r } }$
B) $\log _ { 3 } \frac { 25 r - 2 } { 6 r }$
C) $\log _ { 3 } \sqrt { \frac { 2 r - 4 } { 6 r } }$
D) $\log _ { 3 } \left( \frac { 1 } { 3 } \sqrt { \frac { r - 2 } { r } } \right)$